100663101 has 48 divisors (see below), whose sum is σ = 189276480. Its totient is φ = 52284960.

The previous prime is 100663099. The next prime is 100663109. The reversal of 100663101 is 101366001.

100663101 is a `hidden beast` number, since 1 + 0 + 0 + 663 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 100663101 - 2¹ = 100663099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100663109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11095 + ... + 18011.

It is an arithmetic number, because the mean of its divisors is an integer number (3943260).

Almost surely, 2^100663101 is an apocalyptic number.

100663101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100663101 is a deficient number, since it is larger than the sum of its proper divisors (88613379).

100663101 is a wasteful number, since it uses less digits than its factorization.

100663101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6951 (or 6938 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 100663101 is about 10033.1002686109. The cubic root of 100663101 is about 465.1825713884.

The spelling of 100663101 in words is "one hundred million, six hundred sixty-three thousand, one hundred one".